What is said and done in Act V that supports the comment that Brutus's and Cassius's defeats are revenge for Caesar's murder?Shakespeare's Julus Caesar

In Act V, Brutus has refused to listen to Cassius who urges Brutus to let their troops wait for those of the triumvirate rather than marching to Philippi. Excited by the appearance of the troops of Brutus, Antony exclaims in Scene 1,

In your bad strokes, Brutus, you give good words.

Witness the hole you made in Caesar's heart,

Crying “Long live! Hail, Caesar!” (5.1.31-33)

Brutus and Cassius say farewell to each other, for...

In Act V, Brutus has refused to listen to Cassius who urges Brutus to let their troops wait for those of the triumvirate rather than marching to Philippi. Excited by the appearance of the troops of Brutus, Antony exclaims in Scene 1,

In your bad strokes, Brutus, you give good words.

Witness the hole you made in Caesar's heart,

Crying “Long live! Hail, Caesar!” (5.1.31-33)

Brutus and Cassius say farewell to each other, for they vow not to be taken alive.

But this same day Must end that work the ides of March begun. And whether we shall meet again I know not. Therefore our everlasting farewell take.For ever, and for ever, farewell, Cassius! If we do meet again, why, we shall smile; If not, why then this parting was well made. (5.1.122-128)

﻿Omens are seen by the once skeptical Cassius; then, in Scene 3 Cassius is defeated and he has Pandarus hold the same sword that struck Caesar as Cassius runs on it. Later, Brutus discovers that his friend Cassius is dead and he exclaims,

O Julius Caesar, thou art might yet!

Thy spirit walks abroad, and turns our swords

In our own proper entrails (5.3.105-107)

Then, in the final scene, Brutus, too, meets with defeat and kills himself, calling upon Caesar as he tells his ghost that he did not kill him as willingly as he slays himself:

Farewell, good Strato.

Caesar--now be stil:

I kill'd not you with half so good a will (5.5.55-57)

With the presence of Caesar's ghost lurking over Brutus, the noble Brutus now sense tremendous guilt for slaying Julius Caesar, for now all his efforts have fallen apart, thus giving way to a crueler reign than ever was that of Julius Caesar.